Question 1

Solve the problem. If necessary, round to the nearest tenth.
-A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 15 feet and the height from the ground to the front doors is 5 feet, how long is the ramp?

Accepted Answer

A)  14.1 ft 
B)  15.8 ft 
C)  4.5 ft 
D)  7.1 ft

Question 2

Solve.
-

Accepted Answer

A)  6 
B)  1, 12 
C)  No solution 
D)  12

Question 3

Determine whether the complex number is a solution of the equation.
-8 + i;  - 16x + 65 = 0

Accepted Answer

A) True 
 B)False

Question 4

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the following. Assume that letters can represent any real number.
-

Accepted Answer

A)  9 
B)  -3 
C)  3 
D)  -9

Question 7

Rewrite with rational exponents.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Simplify.
-

Accepted Answer

A)  0.003 
B)  0.3 
C)  0.03 
D)  3

Question 9

Use a calculator to approximate to three decimal places.
-

Accepted Answer

A)  0.015 
B)  0.15 
C)  0.002 
D)  1.500

Question 10

Find the following. Assume that the letter can represent any real number.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve.
-

Accepted Answer

A)   
B)  0 
C)  1 
D)  No solution

Question 12

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

For the given function, find the indicated function value.
-For f(x) =  find f(14).

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Use rational exponents to simplify. Write the answer in radical notation if appropriate.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Add or subtract. Then simplify by collecting like radical terms, if possible.
--

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Multiply.
-(8 + 5i)(2 - 7i)

Accepted Answer

A)   
B)  -19 + 66i 
C)  51 - 46i 
D)  51 + 46i

Question 17

Identify the radicand.
-

Accepted Answer

A)   
B)  y - 5 
C)   
D)  y + 5

Question 18

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain why it is easier to approximate  compared to  using  when a calculator is not
available.

Accepted Answer

The answer of Write the word or phrase that best...

Question 19

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-In an equilateral triangle, all sides have the same length. Can a right triangle be equilateral? Why or why not?

Accepted Answer

The answer of Write the word or phrase that best...

Exam 11: Radical Expressions, Equations, and Functions

Solve the problem. If necessary, round to the nearest tenth. -A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 15 feet and the height from the ground to the front doors is 5 feet, how long is the ramp?

Solve. -

Determine whether the complex number is a solution of the equation. -8 + i; - 16x + 65 = 0

Simplify. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Rewrite with rational exponents. -

Simplify. -

Use a calculator to approximate to three decimal places. -

Find the following. Assume that the letter can represent any real number. -

Solve. -

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

For the given function, find the indicated function value. -For f(x) = find f(14) .

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Add or subtract. Then simplify by collecting like radical terms, if possible. --

Multiply. -(8 + 5i) (2 - 7i)

Identify the radicand. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why it is easier to approximate compared to using when a calculator is not available.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -In an equilateral triangle, all sides have the same length. Can a right triangle be equilateral? Why or why not?